2. A Crane in Equilibrium A crane is supporting a tethered mass as shown in the figure below. The crane has a mass m = = 3000 kg and the tethered mass is m2 10000 kg. The crane is supported by a frictionless pin (point A) about which it is free to pivot, and it rests against a smooth support (point B). The location of the center of mass for the crane is shown in the figure, assume that the acceleration due to gravity is 10m $2 1.00 m A B W1E 2.00 m 6.00 m m2 a. Make a complete and properly labeled extended force diagram for the crane. b. Briefly explain why the direction of the support force at the smooth surface (point B) only points in the horizontal direction, but the force at the frictionless pin (point A) can point in vertically and horizontally. c. Express Newton's 2nd law for the forces and torques on the crane. Clearly explain your choice of pivot. d. Find the force exerted on the crane at the frictionless pin (point A), express your answer as vector and explain your work. e. Find the force exerted on the crane by the smooth support (point B), express your answer as vector and explain your work.